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Finding the Fourth Proportional to 4,700.53, 6,516.42 and 4,450.86

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Solution

The fourth proportional to 4,700.53, 6,516.42 and 4,450.86 is: 6,170.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700.53 : 6,516.42 = 4,450.86 : x
  2. Step 2: Convert to fraction form
    4,700.53/6,516.42 = 4,450.86/x
  3. Step 3: Cross multiply
    4,700.53x = 6,516.42 × 4,450.86
  4. Step 4: Simplify right side
    4,700.53x = 29,003,673.12
  5. Step 5: Solve for x
    x = 29,003,673.12/4,700.53
  6. Step 6: Final answer
    x = 6,170.30

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.